Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 12.4, Problem 50E
a.
To determine
Find the interval estimate for the slope of the population regression.
b.
To determine
Find and interpret the interval estimate for the true
c.
To determine
Find the prediction interval of Fermi-level position for a single observation when the Ge concentration is 0.5.
Compare the width of the prediction interval with the confidence interval obtained in part (b).
d.
To determine
Find the simultaneous confidence interval for the true mean of Fermi-level position when the Ge concentration is 0.3, 0.5 and 0.7 with at least 97% joint confidence level.
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х
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Compute the least-squares line for predicting y from x.
b. Plot the residuals versus the fitted values.
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Using the better fitting line, find a 95% confidence interval for the mean value of y
when x= 5.0.
The article "Simulation of the Hot Carbonate Process for Removal of CO, and H,S from
Medium Btu Gas" (K. Park and T. Edgar, Energy Progress, 1984:174–180) presents an
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solution. The actual equilibrium pressure (in kPa) was measured in nine different reactions
and compared with the value estimated from the equation. The results are presented in the
following table:
Reaction
Estimated Experimental
Difference
45.10
42.95
2.15
2
85.77
79.98
5.79
3
151.84
146.17
5.67
4.
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84.41
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150.47
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253.81
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8.36
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17.7 Butterfly wings. Researchers studied the morphological attributes of monarch
butterflies (Danaus plexippus), a species that undertakes large seasonal migrations
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a sample of 92 monarch butterflies, all of which had been reared in captivity in
identical conditions.° Figure 17.4 shows the output from the statistical software
JMP. (The data are also available in the Large.Butterfly the data file if you wish
to practice working with your own software.) Estimate with 95% confidence the
mean forewing weight of monarch butterflies reared in captivity. Follow the four-
step process as illustrated in Example 17.2.
4
STEP
そMP
FWweight
30
25
20
15
10
11 12
13
14 15
8
9
10
Summary Statistics
Mean
11.795652
Std Dev
1.1759413
Std Err Mean
0.1226004
Upper 95% Mean
Lower 95% Mean
1 FIGURE 17.4
Software output (JMP) for the
forewing weight of monarch
12.039183
11.552122
92
N.
butterflies.
Count
Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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Ch. 12.1 - Suppose that in a certain chemical process the...Ch. 12.2 - Refer back to the data in Exercise 4, in which y =...Ch. 12.2 - The accompanying data on y = ammonium...Ch. 12.2 - Refer to the lank temperature-efficiency ratio...Ch. 12.2 - Values of modulus of elasticity (MOE, the ratio of...Ch. 12.2 - The article Characterization of Highway Runoff in...Ch. 12.2 - For the past decade, rubber powder has been used...Ch. 12.2 - For the past decade, rubber powder has been used...Ch. 12.2 - The following data is representative of that...Ch. 12.2 - The bond behavior of reinforcing bars is an...Ch. 12.2 - Wrinkle recovery angle and tensile strength are...Ch. 12.2 - Calcium phosphate cement is gaining increasing...Ch. 12.2 - a. Obtain SSE for the data in Exercise 19 from the...Ch. 12.2 - The invasive diatom species Didymosphenia geminata...Ch. 12.2 - Prob. 25ECh. 12.2 - Show that the point of averages (x,y) lies on the...Ch. 12.2 - Prob. 27ECh. 12.2 - a. Consider the data in Exercise 20. Suppose that...Ch. 12.2 - Consider the following three data sets, in which...Ch. 12.3 - Reconsider the situation described in Exercise 7,...Ch. 12.3 - During oil drilling operations, components of the...Ch. 12.3 - Exercise 16 of Section 12.2 gave data on x =...Ch. 12.3 - During oil drilling operations, components of the...Ch. 12.3 - For the past decade, rubber powder has been used...Ch. 12.3 - Refer back to the data in Exercise 4, in which y =...Ch. 12.3 - Misi (airborne droplets or aerosols) is generated...Ch. 12.3 - Prob. 37ECh. 12.3 - Refer to the data on x = liberation rate and y =...Ch. 12.3 - Carry out the model utility test using the ANOVA...Ch. 12.3 - Prob. 40ECh. 12.3 - Prob. 41ECh. 12.3 - Verify that if each xi is multiplied by a positive...Ch. 12.3 - Prob. 43ECh. 12.4 - Fitting the simple linear regression model to the...Ch. 12.4 - Reconsider the filtration ratemoisture content...Ch. 12.4 - Astringency is the quality in a wine that makes...Ch. 12.4 - The simple linear regression model provides a very...Ch. 12.4 - Prob. 48ECh. 12.4 - You are told that a 95% CI for expected lead...Ch. 12.4 - Prob. 50ECh. 12.4 - Refer to Example 12.12 in which x = test track...Ch. 12.4 - Plasma etching is essential to the fine-line...Ch. 12.4 - Consider the following four intervals based on the...Ch. 12.4 - The height of a patient is useful for a variety of...Ch. 12.4 - Prob. 55ECh. 12.4 - The article Bone Density and Insertion Torque as...Ch. 12.5 - The article Behavioural Effects of Mobile...Ch. 12.5 - The Turbine Oil Oxidation Test (TOST) and the...Ch. 12.5 - Toughness and fibrousness of asparagus are major...Ch. 12.5 - Head movement evaluations are important because...Ch. 12.5 - Prob. 61ECh. 12.5 - Prob. 62ECh. 12.5 - Prob. 63ECh. 12.5 - The accompanying data on x = UV transparency index...Ch. 12.5 - Torsion during hip external rotation and extension...Ch. 12.5 - Prob. 66ECh. 12.5 - Prob. 67ECh. 12 - The appraisal of a warehouse can appear...Ch. 12 - Prob. 69SECh. 12 - Forensic scientists are often interested in making...Ch. 12 - Phenolic compounds are found in the effluents of...Ch. 12 - The SAS output at the bottom of this page is based...Ch. 12 - The presence of hard alloy carbides in high...Ch. 12 - The accompanying data was read from a scatterplot...Ch. 12 - An investigation was carried out to study the...Ch. 12 - Prob. 76SECh. 12 - Open water oil spills can wreak terrible...Ch. 12 - In Section 12.4, we presented a formula for...Ch. 12 - Show that SSE=Syy1Sxy, which gives an alternative...Ch. 12 - Suppose that x and y are positive variables and...Ch. 12 - Let sx and sy denote the sample standard...Ch. 12 - Verify that the t statistic for testing H0: 1 = 0...Ch. 12 - Use the formula for computing SSE to verify that...Ch. 12 - In biofiltration of wastewater, air discharged...Ch. 12 - Normal hatchery processes in aquaculture...Ch. 12 - Prob. 86SECh. 12 - Prob. 87SE
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